Question

Using small pieces of construction paper, Sara makes a collage in the shape of a circle for art class. The diameter of the collage is 8inches. What is the area of the collage? Use 3.14 for itA) 50.24 inB) 58.35 inC) 61.56 inD) 200.96 in

Answer 1

The formula for calculating the area of the circle made by Sara is given by the following general formula:

$A=\pi\times r^2$

where r = radius of the circle, and:

$\text{radius}=\frac{\text{diameter}}{2}$

Now, given that the diameter of the circle made by sara is 8 inches, the radius will be:

$\begin{gathered} \text{radius}=\frac{\text{diameter}}{2} \\ \text{radius}=\frac{8}{2}=4\text{ inches} \end{gathered}$

Now, the area of the circle will be:

$\begin{gathered} A=\pi\times r^2 \\ \text{Given that: }\pi=3.14,\text{ and r = 4 inches, we have:} \\ A=3.14\times4^2 \\ A=3.14\times16=50.24in^2 \end{gathered}$

Therefore the area of the circle made by Sara is 50.24 square inches

Correct answer: Option A